SOLUTION: The ratio of supplementary angle and complementary angle of an angle is 11:5 then what is the measure of that angle?

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Question 891264: The ratio of supplementary angle and complementary angle of an angle is 11:5 then what is the measure of that angle?
Found 2 solutions by mananth, Fombitz:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the angle be x
(180-x)/(90-x) = 11/5
5(180-x)=11(90-x)
900-5x=990-11x
6x=90
x=90/6
x=15 deg

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
S%2FC=11%2F5
5S=11C
S=%2811%2F5%29C
.
.
.
S%2BA=180
C%2BA=90
Substracting,
S-C=90
Substituting,
%2811%2F5%29C-C=90
%286%2F5%29C=90
C=%285%2F6%29%2890%29
C=75
Then,
A=90-75
A=15